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labwork [276]
2 years ago
13

What is the slope-intercept form of an equation of a line that passes through the point (0,-1) and is perpendicular to 5x-y=3?

Mathematics
1 answer:
Leona [35]2 years ago
8 0

Answer:

y = -1/5x - 1

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

Write the given equation in the slope-intercept form: y = mx + b

5x - y = 3

-y = -5x + 3

y = 5x - 3       multiply by -1

The slope of the given line is 5 ( the coefficient of the x-term).

The slope of the new equation will -1/5 (this is the negative reciprocal of 5).

Next find "b"  using y = mx + b, the new slope -1/5 and the point (0, -1)

y = mx + b

-1 = -1/5(0) + b

-1 = 0 + b

-1 = b  

Now write the equation y = -1/5x - 1

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C. 63x + 203 = 693 would be the answer

6 0
3 years ago
How do you write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1,1)
harkovskaia [24]
First you have to put it into point-slope form before you can write it in slope-intercept form which is y-y1=m(x-x1)

Y-1=2(x-1)
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Y-1=2x-2
Move it all to one side
Y=2x-1
7 0
3 years ago
Read 2 more answers
(10n-5)÷(5)=2n-1 the left of the parentheses has to equal the right
daser333 [38]
(10n-5)/(5)= 2n-1
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8 0
3 years ago
A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b
zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

brainly.com/question/24336684

#SPJ4

8 0
2 years ago
The difference between two numbers is 9. The first number plus twice the other number is 27.Find the two numbers.
vodka [1.7K]
The numbers are 3 and 12. 12 and 3 have a difference of 9 and 3+12+12=27.
4 0
3 years ago
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